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Finding the Fourth Proportional to 437.85, 659.84 and 394.56

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Solution

The fourth proportional to 437.85, 659.84 and 394.56 is: 594.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.85 : 659.84 = 394.56 : x
  2. Step 2: Convert to fraction form
    437.85/659.84 = 394.56/x
  3. Step 3: Cross multiply
    437.85x = 659.84 × 394.56
  4. Step 4: Simplify right side
    437.85x = 260,344.50
  5. Step 5: Solve for x
    x = 260,344.50/437.85
  6. Step 6: Final answer
    x = 594.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.